## Related Topics

- How to Find Percent of Increase and Decrease
- How to Solve Percent Problems
- How to Find Discount, Tax, and Tip
- How to Solve Simple Interest Problems

## Step by step guide to solve percentage problems

- Percent is a ratio of a number and \(100\). It always has the same denominator, \(100\). The percent symbol is \(\%\).
- Percent is another way to write decimals or fractions. For example:

\(40\%=0.40=\frac{40}{100}=\frac{2}{5}\) - Use the following formula to find part, whole, or percent:

\(\color{blue}{part =\frac{percent}{100} \ × \ whole }\)

### Percentage Calculations – Example 1:

What is \(15\%\) of \(50\)?

**Solution:**

Use the this formula: \(\color{ blue }{part =\frac{percent}{100} \ × \ whole }\).

\(part\) \(=\frac{15}{100} \ × \ 50 →\) \(part\) \(=\frac{15 \ × \ 50}{100}→\) \(part\) \(=\frac{75}{10}→\) \(part\) \(=7.5 \)

### Percentage Calculations – Example 2:

What is \(30\%\) of \(35\)?

**Solution:**

Use the this formula: \(\color{ blue }{part =\frac{percent}{100} \ × \ whole }\).

\(part\) \(=\frac{30}{100} \ × \ 35 →\) \(part\) \(=\frac{30 \ × \ 35}{100}→\) \(part\) \(=\frac{105}{10}→\) \(part\) \(=10.5 \)

### Percentage Calculations – Example 3:

What is \(10\%\) of \(45\)?

**Solution:**

Use the this formula: \(\color{ blue }{part =\frac{percent}{100} \ × \ whole }\).

\(part\) \(=\frac{10}{100}×45 →part\)\(=\frac{1}{10}×45\)→\(part\) \(=\frac{45}{10}→\) \(part\) \(=4.5\)

### Percentage Calculations – Example 4:

What is \(15\%\) of \(24\)?

**Solution:**

Use the percent formula: \(\color{ blue }{part =\frac{percent}{100} \ × \ whole }\).

\(part\) \(=\frac{15}{100}×24 →\) \(part\) \(=\frac{15 \ × \ 24}{100}\)→ \(part\) \(=\frac{360}{100} →\) \(part\) \(=3.6 \)

## Exercises for Doing Percentage Calculations

### Calculate the percentages.

- \(\color{blue}{50\% \ of \ 25}\)
- \(\color{blue}{ 80\% \ of \ 15 }\)
- \(\color{blue}{ 30\% \ of \ 34 }\)
- \(\color{blue}{ 70\% \ of \ 45 }\)
- \(\color{blue}{ 10\% \ of \ 0 }\)
- \(\color{blue}{ 80\% \ of \ 22 }\)

### Download Percentage Calculations Worksheet

- \(\color{blue}{12.5}\)
- \(\color{blue}{12}\)
- \(\color{blue}{10.2}\)
- \(\color{blue}{31.5}\)
- \(\color{blue}{0}\)
- \(\color{blue}{17.6}\)

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